The surface area S of a metal cylinder is given by S = 2r² + 2«rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. Iif the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don'tround anwe unie he inatructiona equest approimationa, or a part of checking your Ow work

The surface area S of a metal cylinder is given by S = 2r² + 2«rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. Iif the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don'tround anwe unie he inatructiona equest approimationa, or a part of checking your Ow work

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The surface area S of a metal cylinder is given by S = 2ar² + 2rh
where r is the radius and h is the height. The height can be cut to
a relative accuracy of 3% but the radius can only be cut to a relative
accuracy of 5%. if the cylinder is supposed to have a radius of 6 cm
and a height of 10 cm, use differentials to eștimate how bad the relative
accuracy of the surface area can be.
Don't round anawes unless
the instructions request approximations, or as part
of checking your
Own work.

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